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Finding the Fourth Proportional to 421,998.45, 582,357.86 and 231,011.84

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Solution

The fourth proportional to 421,998.45, 582,357.86 and 231,011.84 is: 318,796.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,998.45 : 582,357.86 = 231,011.84 : x
  2. Step 2: Convert to fraction form
    421,998.45/582,357.86 = 231,011.84/x
  3. Step 3: Cross multiply
    421,998.45x = 582,357.86 × 231,011.84
  4. Step 4: Simplify right side
    421,998.45x = 134,531,562,428.09
  5. Step 5: Solve for x
    x = 134,531,562,428.09/421,998.45
  6. Step 6: Final answer
    x = 318,796.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.